2(x-5)+3=9x+7

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Solution for 2(x-5)+3=9x+7 equation:


Simplifying
2(x + -5) + 3 = 9x + 7

Reorder the terms:
2(-5 + x) + 3 = 9x + 7
(-5 * 2 + x * 2) + 3 = 9x + 7
(-10 + 2x) + 3 = 9x + 7

Reorder the terms:
-10 + 3 + 2x = 9x + 7

Combine like terms: -10 + 3 = -7
-7 + 2x = 9x + 7

Reorder the terms:
-7 + 2x = 7 + 9x

Solving
-7 + 2x = 7 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
-7 + 2x + -9x = 7 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-7 + -7x = 7 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -7x = 7 + 0
-7 + -7x = 7

Add '7' to each side of the equation.
-7 + 7 + -7x = 7 + 7

Combine like terms: -7 + 7 = 0
0 + -7x = 7 + 7
-7x = 7 + 7

Combine like terms: 7 + 7 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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